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Finding the Third Proportional to 971,569.69 and 2,055,243.38

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Solution

The third proportional to 971,569.69 and 2,055,243.38 is: 4,347,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,569.69 : 2,055,243.38 = 2,055,243.38 : x
  2. Step 2: Convert to fraction form
    971,569.69/2,055,243.38 = 2,055,243.38/x
  3. Step 3: Cross multiply
    971,569.69x = 2,055,243.38 × 2,055,243.38
  4. Step 4: Simplify right side
    971,569.69x = 4,224,025,330,481.39
  5. Step 5: Solve for x
    x = 4,224,025,330,481.39/971,569.69
  6. Step 6: Final answer
    x = 4,347,629.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.